MM Optimization Algorithms offers an overview of the MM principle, a device for deriving optimization algorithms satisfying the ascent or descent property. These algorithms can separate the variables of a problem, avoid large matrix inversions, linearize a problem, restore symmetry, deal with equality and inequality constraints gracefully, and turn a nondifferentiable problem into a smooth problem.

The author presents the first extended treatment of MM algorithms, which are ideal for high-dimensional optimization problems in data mining, imaging, and genomics; derives numerous algorithms from a broad diversity of application areas, with a particular emphasis on statistics, biology, and data mining; and summarizes a large amount of literature that has not reached book form before.

Audience: This book is intended for those interested in high-dimensional optimization. Background material on convexity and semidifferentiable functions is derived in a setting congenial to graduate students.

Contents: Chapter 1: Beginning Examples; Chapter 2: Convexity and Inequalities; Chapter 3: Nonsmooth Analysis; Chapter 4: Majorization and Minorization; Chapter 5: Proximal Algorithms; Chapter 6: Regression and Multivariate Analysis; Chapter 7: Convergence and Acceleration; Appendix A: Mathematical Background.

About the Author

Kenneth Lange is the Rosenfeld Professor of Computational Genetics at UCLA and a faculty member in the Departments of Biomathematics, Human Genetics, and Statistics. He has held appointments at the University of New Hampshire, MIT, Harvard, the University of Michigan, the University of Helsinki, and Stanford. He is a fellow of the American Statistical Association, the Institute of Mathematical Statistics, and the American Institute for Medical and Biomedical Engineering. He won the Snedecor Award from the Joint Statistical Societies in 1993 and gave a platform presentation at the 2015 International Congress of Mathematicians. His research interests include human genetics, population modeling, biomedical imaging, computational statistics, optimization theory, and applied stochastic processes. He has published four previous books, Mathematical and Statistical Methods for Genetic Analysis, Numerical Analysis for Statisticians, Applied Probability, and Optimization, all with Springer and all in second editions.

"About this title" may belong to another edition of this title.

Store Description

Account dedicated to Print on Demand titles. Brook Bookstore offers a wide selection of books with a continuously updated catalog and fast shipments all over the world. We hold distribution rights with all of the publishers we promote and are in continuous search of new interesting titles to propose to our customers. We are part of Brandon Group SRL (an Italian company) and all of the orders are shipped from Europe. Depending on availability orders will be picked from our different warehouses. CONTACT US If you have any questions please do not hesitate to contact us sending a message to our store. We have a well prepared customer service team who will be happy to assist you. Our working hours are from Monday to Friday from 9:30 to 18:30 (CET, UTC +1) so messages received during the weekends might be responded with a slight delay but we guarantee you will get back to you as soon as possible. RETURNS If you want to return your order, please submit your request through Abebooks platform. Returns requests are managed case by case by our team and always in line with Abebooks policies: AbeBooks? Return Policy guarantees that you can return any book for a refund within 30 days, when the return is due to an error on the bookseller?s part. When the motive of the return is not due to an error of the seller it is up to Brook Bookstore to accept the return or else after studying the case. CANCELLATION You can send a cancellation request to our customer service team while the package has not yet been shipped. After that we cannot ensure we can retrieve the parcel but we suggest you to get in touch with us in order to verify the case. INVOICE You can request the invoice to be issued together with the shipment of the order or, at the latest, in the same month of the shipment.

Visit Seller's Storefront

Seller's business information

Brandon Group S.R.L.
Via Vannella Gaetani 27, Brandon Group, Napoli, NA, 80121, Italy

Sale & Shipping Terms

Terms of Sale

Account dedicated to Print on Demand titles.

CANCELLATION
You can send a cancellation request from the order page while the package has not yet been shipped. After that we cannot ensure we can retrieve the parcel but we suggest you to get in touch with us in order to verify the case.

INVOICE
You can request the invoice to be issued together with the shipment of the order or, at the latest, in the same month of the shipment.

RETURNS
If you want to return your order, please contact us for authoriz...

More Information

Shipping Terms

Shipping rates from Italy to U.S.A.

Shipping rates from Italy to U.S.A.
Order quantity	25 to 40 business days	60 to 60 business days
First item	US$ 7.78	US$ 584.50

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.